We need to know some log properties
1. when the base is not stated, assume that it is base 10 or log₁₀
2.
-log(10^-1)=
answer is D. -1
DB is a median (given). It goes from vertex point D to midpoint B.
The point B is the midpoint of segment AC. So B cuts AC into two equal halves: AB and AC
Meaning AB = AC
AC = AB+BC ... segment addition postulate
AC = AB+AB ... substitution; replace BC with AB (valid because AB = AC)
AC = 2*AB
2*AB = AC
2*AB = 50 ... substitution; replace AC with 50
2*AB/2 = 50/2 ... divide both sides by 2
AB = 25 which is the answer
Answer:5
Explanation:Pythagorean Theorem
<span>Found a similar problem with the given table.
Elapsed time
(Minutes) 0 10 20 30 40 50 60 70 80 90
Rate
(gallons / minute) 42 40 38 35 35 32 28 20 19 10
Because the interval is every 10 minutes, we will use 10 and multiply it to each rate and get the sum total.
42*10 + 40*10 + 38*10 + 35*10 + 35*10 + 32*10 + 28*10 + 20*10 + 19*10 + 10*10
420 + 400 + 380 + 350 + 350 + 320 + 280 + 200 + 190 + 100
2,990
There will be a total of 2,990 gallons in the tank after 90 minutes. </span>
